The self-consistent field theory of brushes of neutral water-soluble polymers described by two-state models is formulated in terms of the effective Flory interaction parameter that depends on both temperature, T, and the monomer volume fraction, φ. The concentration profiles, distribution of free ends and compression force profiles are obtained in the presence and in the absence of a vertical phase separation. A vertical phase separation within the layer leads to a distinctive compression force profile and a minimum in the plot of the moments of the concentration profile versus the grafting density. The analysis is applied explicitly to the Karalstrom model. The relevance to brushes of Poly(N-isopropylacrylamide)(PNIPAM) is discussed.
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The various plots involve dimensionless functions and variables. Accordingly, z stands for z/a, σ for etc. All calculations utilize Eq. (16) or (17) and begin with choosing This is then used to determine H and then σ. For numerical convenience the calculation of σ is carried out by using a discretized version of Eq. (16) or (17). The integral is approximated by a sum of 100 equidistant terms. It is thus difficult to control σ precisely. The σ stated values are the integer values within 0.2 of the real value.
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